Research Article

A New Stochastic Technique for Painlevé Equation-I Using Neural Network Optimized with Swarm Intelligence

Table 2

A set of weights trained for DE-NN networks.

PSOPSO-ASAPSOPSO-ASA

11.003223968159700−7.607757117408950 2.2126287198345202.474582479870870
1.215553756976230−1.490826886546450 −3.4359840200177401.576108544205200
−0.105724097992031−0.545895962495148 3.162425319231580−3.958973407625250
−0.6313381642951777.264468183878910 0.7834893310682871.998216516692480
5.142485647745030−8.830221260895670 −1.3691236257363700.021432666153674

2.2129429022617901.227208825263930 1.4008721588220501.316114527930020
8.952236157349910−3.632183934646160 −0.4202355400179171.323004693243890
0.2110943255648144.680032352849500 0.771318701716261−2.560496480052050
−0.9180964900773059.995894668412700 −1.3945337327786101.004134898951920
34.739272824112700−0.083663885403684 −0.3430931975420970.887019181878860

−14.7566923943646008.897738213117890 1.2013918208389801.100068363593600
−3.4416368022738802.675860058162530 3.9356929174067000.587872446048014
2.708026281856620−0.220415897788109 −3.8477289455881205.075428578185270
1.986093010073140−9.999999632285810 −1.648848649331190−2.429219273541780
−9.0562194607610808.881048710700930 −0.5315357931352942.174973763274050